four particles of equal mass are attached to a light inextensible string at the point ABCD where AB=BC=CD and placed with three point of the string taut and forming three sides of a regular hexagon, An impulse is given to the particle at A so that it moves in the dirrction BA with speed U, show that the particle at D begins to move with velocity U/13

a) a mortgage is taken out for Rm10000 and is repaid by annual instalments of Rm2000. Interest is charged on the outstanding at 10% calculated annually. If the first payment is made one year after the mortgage is taken out find the number of years it takes for the mortgage to be repaid.

b) A bank loan of Rm500 is arranged to be repaid in 2 years by equal monthly instalments. Interest (calculated monthly) is charged at 11% p.a on the remaining debt. Calculate the monthly repayment if the first repayment is to be made after the loan is granted

compute the simple operating margin CO2 factor for the year 2020 if the system load of 600Mw, is supplied by 10 coal unit with a capacity of 100Mw, 10 oil fired generatior with a capacity of 50Mw and 10 gas fired generator with a capacity of 50Mw.

Particles A and B are attached to the end of a light inextensible string which passes over a smooth pulley. The system is held at rest with the string taut and its straight parts vertical. Both particles are at a height of 0.36m above the floor. The system is released and A begin to fall reaching the floor after 0.5s

Oil having a density of 930 kg/m3floats on water. A rectangular block of wood of 4.00 cm high and with a density of 960 kg/m3floats partly 8n the water. The oil completely covers the block. How far below the interfere between the two liquids is the bottom of the block?

Spherical particles of protein of density 1.8g/cm3 are shaken up in a solution of 20oC water. The solution is allowed to stand for 1.0h. If the depth of water in the tube is 5.0 cm find the radius of the largest particles that remain 8bs solution at the end of the hour.

A projectile is fired straight upward from the Earth's surface at the South Pole with an initial speed equal to one third the escape speed. (a) ignoring air resistance determine how far from the centre of the Earth the projectile travels before stopping momentarily.(b) what 8s the altitude of the projectile at this instant?

the profit in thousands of naira from a daily production corporate is given by which is a function of the level of production (x) in thousands. If dp/dx = 11 - 2x and the profit breakeven point is known to be a production of #3000. Find.

The 1st, 2nd and 3rd terms of geometric progression are the 1st , 9th and 21st terms of arithmetic progression. The 1st term of each progression is 8 and the common ratio of the geometric progression is r where r is not equal to 1.